Amplitude modes in three-dimensional spin dimers away from quantum critical point

Zhu, M.; Matsumoto, M.; Stone, M. B.; Dun, Z. L.; Zhou, H. D.; Hong, T.; Zou, T.; Mahanti, S. D.; Ke, X.

doi:10.1103/PhysRevResearch.1.033111

Title: Amplitude modes in three-dimensional spin dimers away from quantum critical point

Abstract

Magnetic excitations of long-range ordered localized spin systems are generally well described by the linear spin-wave theory which accounts for phase fluctuations of the order parameter. In contrast, quasiparticles associated with amplitude fluctuations are only observed in a few quantum antiferromagnets close to a quantum critical point (QCP), where the ordered moment is suppressed significantly from its fully saturated value. Via inelastic neutron scattering measurements and extended spin-wave calculations, we present the observation and explanation of amplitude modes in the magnetic excitation spectra of three-dimensional S = 3/2 spin dimers Cr₂TeO₆ and Cr₂WO₆, which nevertheless are away from the QCP with the ordered moment reduced by only ~24%. We show that the large spin of Cr³⁺ and narrow bandwidth of the amplitude modes render their detection even in polycrystalline samples. This paper suggests that amplitude modes are not the privilege of ordered spin systems in the vicinity of a QCP, but may be common excitation modes that can survive even away from the QCP, paving a way to search for and understand the physics of amplitude fluctuations in antiferromagnets beyond the quantum spin limit (S=1/2).

Authors:

; Matsumoto, M.; Stone, M. B.; Dun, Z. L.; Zhou, H. D.; Hong, T.; Zou, T.; Mahanti, S. D.; Ke, X.

Publication Date:: 2019-11-19

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF); JSPS KAKENHI

OSTI Identifier:: 1574550

Alternate Identifier(s):: OSTI ID: 1666022

Grant/Contract Number:: AC05-00OR22725; 17K05516; DMR-1350002; DMR-1608752

Resource Type:: Published Article

Journal Name:: Physical Review Research

Additional Journal Information:: Journal Name: Physical Review Research Journal Volume: 1 Journal Issue: 3; Journal ID: ISSN 2643-1564

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Magnetism; spin dynamics; magnetic systems; inelastic neutron scattering

Citation Formats


                    Zhu, M., Matsumoto, M., Stone, M. B., Dun, Z. L., Zhou, H. D., Hong, T., Zou, T., Mahanti, S. D., and Ke, X. Amplitude modes in three-dimensional spin dimers away from quantum critical point.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevResearch.1.033111.

Copy to clipboard


                    Zhu, M., Matsumoto, M., Stone, M. B., Dun, Z. L., Zhou, H. D., Hong, T., Zou, T., Mahanti, S. D., & Ke, X. Amplitude modes in three-dimensional spin dimers away from quantum critical point.  United States.  https://doi.org/10.1103/PhysRevResearch.1.033111

Copy to clipboard


                    Zhu, M., Matsumoto, M., Stone, M. B., Dun, Z. L., Zhou, H. D., Hong, T., Zou, T., Mahanti, S. D., and Ke, X. Tue .  
"Amplitude modes in three-dimensional spin dimers away from quantum critical point".  United States.  https://doi.org/10.1103/PhysRevResearch.1.033111.

Copy to clipboard


                    
@article{osti_1574550,

  title        = {Amplitude modes in three-dimensional spin dimers away from quantum critical point},

  author       = {Zhu, M. and Matsumoto, M. and Stone, M. B. and Dun, Z. L. and Zhou, H. D. and Hong, T. and Zou, T. and Mahanti, S. D. and Ke, X.},

  abstractNote = {Magnetic excitations of long-range ordered localized spin systems are generally well described by the linear spin-wave theory which accounts for phase fluctuations of the order parameter. In contrast, quasiparticles associated with amplitude fluctuations are only observed in a few quantum antiferromagnets close to a quantum critical point (QCP), where the ordered moment is suppressed significantly from its fully saturated value. Via inelastic neutron scattering measurements and extended spin-wave calculations, we present the observation and explanation of amplitude modes in the magnetic excitation spectra of three-dimensional S = 3/2 spin dimers Cr2TeO6 and Cr2WO6, which nevertheless are away from the QCP with the ordered moment reduced by only ~24%. We show that the large spin of Cr3+ and narrow bandwidth of the amplitude modes render their detection even in polycrystalline samples. This paper suggests that amplitude modes are not the privilege of ordered spin systems in the vicinity of a QCP, but may be common excitation modes that can survive even away from the QCP, paving a way to search for and understand the physics of amplitude fluctuations in antiferromagnets beyond the quantum spin limit (S=1/2).},

  doi          = {10.1103/PhysRevResearch.1.033111},

  journal      = {Physical Review Research},

  number       = 3,

  volume       = 1,

  place        = {United States},

  year         = {2019},

  month        = {11}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevResearch.1.033111

Other availability

Search WorldCat to find libraries that may hold this journal

Figures / Tables:

FIG. 1: Schematics of the crystal and magnetic structures of (a) Cr₂TeO₆ and (b) Cr₂WO₆. (c) Exchange interactions between Cr³⁺ ions. Two spins within a dimer are coupled by an antiferromagnetic exchange interaction (J₁ > 0). The dimers interact with each other by interdimer interactions (J₂ and J₃). The magneticmore »

All figures and tables (11 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
journal, July 2017

Hong, Tao; Matsumoto, Masashige; Qiu, Yiming
Nature Physics, Vol. 13, Issue 7
DOI: 10.1038/nphys4182

Spin dynamics of chromium. II. Incommensurate alloys
journal, September 1996

Fishman, R. S.; Liu, S. H.
Physical Review B, Vol. 54, Issue 10
DOI: 10.1103/PhysRevB.54.7252

Haldane-gap modes in the S =1 antiferromagnetic chain compound ${CsNiCl}_{3}$
journal, September 1990

Tun, Z.; Buyers, W. J. L.; Armstrong, R. L.
Physical Review B, Vol. 42, Issue 7
DOI: 10.1103/PhysRevB.42.4677

Longitudinal spin fluctuations of coupled integer-spin chains: Haldane triplet dynamics in the ordered phase of ${CsNiCl}_{3}$
journal, February 1999

Enderle, M.; Tun, Z.; Buyers, W. J. L.
Physical Review B, Vol. 59, Issue 6
DOI: 10.1103/PhysRevB.59.4235

Colloquium : Majorana fermions in nuclear, particle, and solid-state physics
journal, February 2015

Elliott, Steven R.; Franz, Marcel
Reviews of Modern Physics, Vol. 87, Issue 1
DOI: 10.1103/RevModPhys.87.137

Spin dynamics of chromium. I. Formalism and commensurate alloys
journal, September 1996

Fishman, R. S.; Liu, S. H.
Physical Review B, Vol. 54, Issue 10
DOI: 10.1103/PhysRevB.54.7233

Universal relaxational dynamics near two-dimensional quantum critical points
journal, June 1999

Sachdev, Subir
Physical Review B, Vol. 59, Issue 21
DOI: 10.1103/PhysRevB.59.14054

Longitudinal magnetic excitation in KCuCl ₃ studied by Raman scattering under hydrostatic pressures
journal, December 2012

Kuroe, H.; Takami, N.; Niwa, N.
Journal of Physics: Conference Series, Vol. 400, Issue 3
DOI: 10.1088/1742-6596/400/3/032042

Theory of two-dimensional quantum Heisenberg antiferromagnets with a nearly critical ground state
journal, May 1994

Chubukov, Andrey V.; Sachdev, Subir; Ye, Jinwu
Physical Review B, Vol. 49, Issue 17
DOI: 10.1103/PhysRevB.49.11919

Field induced spontaneous quasiparticle decay and renormalization of quasiparticle dispersion in a quantum antiferromagnet
journal, May 2017

Hong, Tao; Qiu, Y.; Matsumoto, M.
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/ncomms15148

Magnetic exchange interactions within binuclear entities of chromium III
journal, October 1979

Drillon, M.; Padel, L.; Bernier, J. C.
Physica B+C, Vol. 97, Issue 4
DOI: 10.1016/0378-4363(79)90089-5

Magnetic properties and spin waves of bilayer magnets in a uniform field
journal, October 2001

Sommer, T.; Vojta, M.; Becker, K. W.
The European Physical Journal B, Vol. 23, Issue 3
DOI: 10.1007/s100510170052

Amplitude collective modes in superconductors and their coupling to charge-density waves
journal, November 1982

Littlewood, P. B.; Varma, C. M.
Physical Review B, Vol. 26, Issue 9
DOI: 10.1103/PhysRevB.26.4883

Quantum Magnets under Pressure: Controlling Elementary Excitations in ${TlCuCl}_{3}$
journal, May 2008

Rüegg, Ch.; Normand, B.; Matsumoto, M.
Physical Review Letters, Vol. 100, Issue 20
DOI: 10.1103/PhysRevLett.100.205701

Magnetic excitations in the spin gap system KCuCl3 and TlCuCl3
journal, September 1999

Kato, T.; Oosawa, A.; Takatsu, K.
Journal of Physics and Chemistry of Solids, Vol. 60, Issue 8-9
DOI: 10.1016/S0022-3697(99)00072-4

Magnon Dispersion in the Field-Induced Magnetically Ordered Phase of ${T l C u C l}_{3}$
journal, July 2002

Matsumoto, Masashige; Normand, B.; Rice, T. M.
Physical Review Letters, Vol. 89, Issue 7
DOI: 10.1103/PhysRevLett.89.077203

Dynamics of Multipoles and Neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB ₆
journal, May 2003

Shiina, Ryousuke; Shiba, Hiroyuki; Thalmeier, Peter
Journal of the Physical Society of Japan, Vol. 72, Issue 5
DOI: 10.1143/JPSJ.72.1216

Spin-Stretching Modes in Anisotropic Magnets: Spin-Wave Excitations in the Multiferroic ${Ba}_{2} {CoGe}_{2} O_{7}$
journal, June 2012

Penc, K.; Romhányi, J.; Rõõm, T.
Physical Review Letters, Vol. 108, Issue 25
DOI: 10.1103/PhysRevLett.108.257203

Dynamical properties of an antiferromagnet near the quantum critical point: Application to ${LaCuO}_{2.5}$
journal, October 1997

Normand, B.; Rice, T. M.
Physical Review B, Vol. 56, Issue 14
DOI: 10.1103/PhysRevB.56.8760

Longitudinal modes in quasi-one-dimensional antiferromagnets
journal, October 1992

Affleck, Ian; Wellman, Greg F.
Physical Review B, Vol. 46, Issue 14
DOI: 10.1103/PhysRevB.46.8934

Coherent Excited States in the Theory of Superconductivity: Gauge Invariance and the Meissner Effect
journal, May 1958

Anderson, P. W.
Physical Review, Vol. 110, Issue 4
DOI: 10.1103/PhysRev.110.827

Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2
journal, June 2018

Dally, Rebecca L.; Zhao, Yang; Xu, Zhijun
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-04601-1

Raman Scattering by Superconducting-Gap Excitations and Their Coupling to Charge-Density Waves
journal, August 1980

Sooryakumar, R.; Klein, M. V.
Physical Review Letters, Vol. 45, Issue 8
DOI: 10.1103/PhysRevLett.45.660

Longitudinal and Transverse Zeeman Ladders in the Ising-Like Chain Antiferromagnet ${BaCo}_{2} V_{2} O_{8}$
journal, January 2015

Grenier, B.; Petit, S.; Simonet, V.
Physical Review Letters, Vol. 114, Issue 1
DOI: 10.1103/PhysRevLett.114.017201

Visibility of the amplitude (Higgs) mode in condensed matter
journal, November 2011

Podolsky, Daniel; Auerbach, Assa; Arovas, Daniel P.
Physical Review B, Vol. 84, Issue 17
DOI: 10.1103/PhysRevB.84.174522

Phase transition, longitudinal spin fluctuations, and scaling in a two-layer antiferromagnet
journal, August 1995

Chubukov, Andrey V.; Morr, Dirk K.
Physical Review B, Vol. 52, Issue 5
DOI: 10.1103/PhysRevB.52.3521

Quantum and classical criticality in a dimerized quantum antiferromagnet
journal, April 2014

Merchant, P.; Normand, B.; Krämer, K. W.
Nature Physics, Vol. 10, Issue 5
DOI: 10.1038/nphys2902

Light-induced collective pseudospin precession resonating with Higgs mode in a superconductor
journal, July 2014

Matsunaga, R.; Tsuji, N.; Fujita, H.
Science, Vol. 345, Issue 6201
DOI: 10.1126/science.1254697

The ‘Higgs’ amplitude mode at the two-dimensional superfluid/Mott insulator transition
journal, July 2012

Endres, Manuel; Fukuhara, Takeshi; Pekker, David
Nature, Vol. 487, Issue 7408
DOI: 10.1038/nature11255

Nearly critical ground state of ${LaCuO}_{2.5}$
journal, March 1997

Troyer, Matthias; Zhitomirsky, M. E.; Ueda, Kazuo
Physical Review B, Vol. 55, Issue 10
DOI: 10.1103/PhysRevB.55.R6117

Higgs Amplitude Mode in the BCS Superconductors ${Nb}_{1 − x} {Ti}_{x} N$ Induced by Terahertz Pulse Excitation
journal, July 2013

Matsunaga, Ryusuke; Hamada, Yuki I.; Makise, Kazumasa
Physical Review Letters, Vol. 111, Issue 5
DOI: 10.1103/PhysRevLett.111.057002

Field- and pressure-induced magnetic quantum phase transitions in ${TlCuCl}_{3}$
journal, February 2004

Matsumoto, Masashige; Normand, B.; Rice, T. M.
Physical Review B, Vol. 69, Issue 5
DOI: 10.1103/PhysRevB.69.054423

Novel Longitudinal Mode in the Coupled Quantum Chain Compound ${KCuF}_{3}$
journal, July 2000

Lake, B.; Tennant, D. A.; Nagler, S. E.
Physical Review Letters, Vol. 85, Issue 4
DOI: 10.1103/PhysRevLett.85.832

Broken symmetries, massless particles and gauge fields
journal, September 1964

Higgs, P. W.
Physics Letters, Vol. 12, Issue 2
DOI: 10.1016/0031-9163(64)91136-9

Tuning the Magnetic Exchange via a Control of Orbital Hybridization in ${Cr}_{2} ({Te}_{1 - x} W_{x}) O_{6}$
journal, August 2014

Zhu, M.; Do, D.; Dela Cruz, C. R.
Physical Review Letters, Vol. 113, Issue 7
DOI: 10.1103/PhysRevLett.113.076406

Magnetic structures of the ordered trirutiles Cr2WO6, Cr2TeO6 and Fe2TeO6
journal, August 1968

Kunnmann, W.; La Placa, S.; Corliss, L. M.
Journal of Physics and Chemistry of Solids, Vol. 29, Issue 8
DOI: 10.1016/0022-3697(68)90187-X

Amplitude/Higgs Modes in Condensed Matter Physics
journal, March 2015

Pekker, David; Varma, C. M.
Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
DOI: 10.1146/annurev-conmatphys-031214-014350

Higgs mode and its decay in a two-dimensional antiferromagnet
journal, March 2017

Jain, A.; Krautloher, M.; Porras, J.
Nature Physics, Vol. 13, Issue 7
DOI: 10.1038/nphys4077

Broken Symmetries and the Masses of Gauge Bosons
journal, October 1964

Higgs, Peter W.
Physical Review Letters, Vol. 13, Issue 16
DOI: 10.1103/PhysRevLett.13.508

Figures / Tables found in this record:

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Interplay between unconventional superconductivity and heavy-fermion quantum criticality: CeCu₂Si₂ versus YbRh₂Si₂

Journal Article Smidman, M. ; Stockert, O. ; Arndt, J. ; ... - Philosophical Magazine (2003, Print)

In this paper the low-temperature properties of two isostructural canonical heavy-fermion compounds are contrasted with regards to the interplay between antiferromagnetic (AF) quantum criticality and superconductivity. For CeCu₂Si₂, fully-gapped d-wave superconductivity forms in the vicinity of an itinerant three-dimensional heavy-fermion spin-density-wave (SDW) quantum critical point (QCP). Inelastic neutron scattering results highlight that both quantum critical SDW fluctuations as well as Mott-type fluctuations of local magnetic moments contribute to the formation of Cooper pairs in CeCu₂Si₂. In YbRh₂Si₂, superconductivity appears to be suppressed at T ≳10 mK by AF order (T_N = 70 mK). Ultra-low temperature measurements reveal a hybrid ordermore »« less
Cited by 1
https://doi.org/10.1080/14786435.2018.1511070

Full Text Available
Dynamical properties of an antiferromagnet near the quantum critical point: Application to LaCuO{sub 2.5}

Journal Article Normand, B ; Rice, T M - Physical Review, B: Condensed Matter

For a system of two-chain spin ladders, the ground state for weak interladder coupling is the spin-liquid state of the isolated ladder, but is an ordered antiferromagnet (AF) for sufficiently large interactions. We generalize the bond-operator mean-field theory to describe both regimes, and to focus on the transition between them. In the AF phase near the quantum critical point (QCP) we find both spin waves and a low-lying but massive amplitude mode which is absent in a conventional AF. The static susceptibility has the form {chi}(T)={chi}{sub 0}+aT{sup 2}, with {chi}{sub 0} small for a system near criticality. We consider themore »« less
https://doi.org/10.1103/PhysRevB.56.8760
Spin dynamics of chromium. II. Incommensurate alloys

Journal Article Fishman, R S ; Department of Physics, North Dakota State University, Fargo, North Dakota 58105-5566 ; Liu, S H - Physical Review, B: Condensed Matter

Since magnetic moments of transition-metal antiferromagnets are created by electron-hole pairs, the spin dynamics of Cr alloys are associated with quasiparticle transitions. This paper uses random-phase approximation to investigate spin dynamics about two different spin-density-wave (SDW) states of incommensurate ({ital I}) alloys with wave vectors {ital Q}{sub {+-}}{sup {prime}}=(2{pi}/{ital a})(0,0,1{+-} {partial_derivative} {prime}). Because of the more complex quasiparticle energies, {ital I} alloys have a richer spectrum of collective excitations than the commensurate ({ital C}) alloys studied previously. Associated with the free energy`s rotational invariance are transverse spin-wave (SW) modes which evolve from each satellite wave vector {ital Q}{sub {+-}}{sup {prime}}more »« less
https://doi.org/10.1103/PhysRevB.54.7252
Magneto-acoustic study near the quantum critical point of the frustrated quantum antiferromagnet Cs{sub 2}CuCl{sub 4}

Journal Article Cong, P. T., E-mail: t.pham@hzdr.de ; Physics Institute, Goethe University Frankfurt, D-60438 Frankfurt am Main ; Postulka, L. ; ... - Journal of Applied Physics

Magneto-acoustic investigations of the frustrated triangular-lattice antiferromagnet Cs{sub 2}CuCl{sub 4} were performed for the longitudinal modes c{sub 11} and c{sub 33} in magnetic fields along the a-axis. The temperature dependence of the sound velocity at zero field shows a mild softening at low temperature and displays a small kink-like anomaly at T{sub N}. Isothermal measurements at T < T{sub N} of the sound attenuation α reveal two closely spaced features of different characters on approaching the material's quantum-critical point (QCP) at B{sub s} ≈ 8.5 T for B || a. The peak at slightly lower fields remains sharp down to the lowest temperaturemore »« less
https://doi.org/10.1063/1.4961710
Neutron diffraction in a model itinerant metal near aquantum critical point

Journal Article Sokolov, D A ; Aronson, Meigan C. ; Erwin, R ; ... - Journal of Physics Conference Series

Neutron diffraction measurements on single crystals of Cr1−xVx (x=0, 0.02, 0.037) show that the ordering moment and the Neel temperature are continuously suppressed as x approaches 0.037, a proposed Quantum Critical Point (QCP). The wave vector Q of the spin density wave (SDW) becomes more incommensurate as x increases in accordance with the two band model. At xC=0.037 we have found temperature dependent, resolution limited elastic scattering at 4 incommensurate wave vectors Q=(1 1,2, 0, 0)*2/a, which correspond to 2 SDWs with Neel temperatures of 19 K and 300 K. Our neutron diffraction measurements indicate that the electronic structure ofmore »« less
https://doi.org/10.1088/1742-6596/150/4/042189

Similar Records

Title: Amplitude modes in three-dimensional spin dimers away from quantum critical point

Abstract

Citation Formats

Figures / Tables:

Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point journal, July 2017

Spin dynamics of chromium. II. Incommensurate alloys journal, September 1996

Haldane-gap modes in the S =1 antiferromagnetic chain compound CsNiCl 3 journal, September 1990

Longitudinal spin fluctuations of coupled integer-spin chains: Haldane triplet dynamics in the ordered phase of CsNiCl 3 journal, February 1999

Colloquium : Majorana fermions in nuclear, particle, and solid-state physics journal, February 2015

Spin dynamics of chromium. I. Formalism and commensurate alloys journal, September 1996

Universal relaxational dynamics near two-dimensional quantum critical points journal, June 1999

Longitudinal magnetic excitation in KCuCl 3 studied by Raman scattering under hydrostatic pressures journal, December 2012

Theory of two-dimensional quantum Heisenberg antiferromagnets with a nearly critical ground state journal, May 1994

Field induced spontaneous quasiparticle decay and renormalization of quasiparticle dispersion in a quantum antiferromagnet journal, May 2017

Magnetic exchange interactions within binuclear entities of chromium III journal, October 1979

Magnetic properties and spin waves of bilayer magnets in a uniform field journal, October 2001

Amplitude collective modes in superconductors and their coupling to charge-density waves journal, November 1982

Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl 3 journal, May 2008

Magnetic excitations in the spin gap system KCuCl3 and TlCuCl3 journal, September 1999

Magnon Dispersion in the Field-Induced Magnetically Ordered Phase of T l C u C l 3 journal, July 2002

Dynamics of Multipoles and Neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB 6 journal, May 2003

Spin-Stretching Modes in Anisotropic Magnets: Spin-Wave Excitations in the Multiferroic Ba 2 CoGe 2 O 7 journal, June 2012

Dynamical properties of an antiferromagnet near the quantum critical point: Application to LaCuO 2.5 journal, October 1997

Longitudinal modes in quasi-one-dimensional antiferromagnets journal, October 1992

Coherent Excited States in the Theory of Superconductivity: Gauge Invariance and the Meissner Effect journal, May 1958

Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2 journal, June 2018

Raman Scattering by Superconducting-Gap Excitations and Their Coupling to Charge-Density Waves journal, August 1980

Longitudinal and Transverse Zeeman Ladders in the Ising-Like Chain Antiferromagnet BaCo 2 V 2 O 8 journal, January 2015

Visibility of the amplitude (Higgs) mode in condensed matter journal, November 2011

Phase transition, longitudinal spin fluctuations, and scaling in a two-layer antiferromagnet journal, August 1995

Quantum and classical criticality in a dimerized quantum antiferromagnet journal, April 2014

Light-induced collective pseudospin precession resonating with Higgs mode in a superconductor journal, July 2014

The ‘Higgs’ amplitude mode at the two-dimensional superfluid/Mott insulator transition journal, July 2012

Nearly critical ground state of LaCuO 2.5 journal, March 1997

Higgs Amplitude Mode in the BCS Superconductors Nb 1 − x Ti x N Induced by Terahertz Pulse Excitation journal, July 2013

Field- and pressure-induced magnetic quantum phase transitions in TlCuCl 3 journal, February 2004

Novel Longitudinal Mode in the Coupled Quantum Chain Compound KCuF 3 journal, July 2000

Broken symmetries, massless particles and gauge fields journal, September 1964

Tuning the Magnetic Exchange via a Control of Orbital Hybridization in Cr 2 ( Te 1 − x W x ) O 6 journal, August 2014

Magnetic structures of the ordered trirutiles Cr2WO6, Cr2TeO6 and Fe2TeO6 journal, August 1968

Amplitude/Higgs Modes in Condensed Matter Physics journal, March 2015

Higgs mode and its decay in a two-dimensional antiferromagnet journal, March 2017

Broken Symmetries and the Masses of Gauge Bosons journal, October 1964

Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
journal, July 2017

Spin dynamics of chromium. II. Incommensurate alloys
journal, September 1996

Haldane-gap modes in the S =1 antiferromagnetic chain compound ${CsNiCl}_{3}$
journal, September 1990

Longitudinal spin fluctuations of coupled integer-spin chains: Haldane triplet dynamics in the ordered phase of ${CsNiCl}_{3}$
journal, February 1999

Colloquium : Majorana fermions in nuclear, particle, and solid-state physics
journal, February 2015

Spin dynamics of chromium. I. Formalism and commensurate alloys
journal, September 1996

Universal relaxational dynamics near two-dimensional quantum critical points
journal, June 1999

Longitudinal magnetic excitation in KCuCl ₃ studied by Raman scattering under hydrostatic pressures
journal, December 2012

Theory of two-dimensional quantum Heisenberg antiferromagnets with a nearly critical ground state
journal, May 1994

Field induced spontaneous quasiparticle decay and renormalization of quasiparticle dispersion in a quantum antiferromagnet
journal, May 2017

Magnetic exchange interactions within binuclear entities of chromium III
journal, October 1979

Magnetic properties and spin waves of bilayer magnets in a uniform field
journal, October 2001

Amplitude collective modes in superconductors and their coupling to charge-density waves
journal, November 1982

Quantum Magnets under Pressure: Controlling Elementary Excitations in ${TlCuCl}_{3}$
journal, May 2008

Magnetic excitations in the spin gap system KCuCl3 and TlCuCl3
journal, September 1999

Magnon Dispersion in the Field-Induced Magnetically Ordered Phase of ${T l C u C l}_{3}$
journal, July 2002

Dynamics of Multipoles and Neutron Scattering Spectra in Quadrupolar Ordering Phase of CeB ₆
journal, May 2003

Spin-Stretching Modes in Anisotropic Magnets: Spin-Wave Excitations in the Multiferroic ${Ba}_{2} {CoGe}_{2} O_{7}$
journal, June 2012

Dynamical properties of an antiferromagnet near the quantum critical point: Application to ${LaCuO}_{2.5}$
journal, October 1997

Longitudinal modes in quasi-one-dimensional antiferromagnets
journal, October 1992

Coherent Excited States in the Theory of Superconductivity: Gauge Invariance and the Meissner Effect
journal, May 1958

Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2
journal, June 2018

Raman Scattering by Superconducting-Gap Excitations and Their Coupling to Charge-Density Waves
journal, August 1980

Longitudinal and Transverse Zeeman Ladders in the Ising-Like Chain Antiferromagnet ${BaCo}_{2} V_{2} O_{8}$
journal, January 2015

Visibility of the amplitude (Higgs) mode in condensed matter
journal, November 2011

Phase transition, longitudinal spin fluctuations, and scaling in a two-layer antiferromagnet
journal, August 1995

Quantum and classical criticality in a dimerized quantum antiferromagnet
journal, April 2014

Light-induced collective pseudospin precession resonating with Higgs mode in a superconductor
journal, July 2014

The ‘Higgs’ amplitude mode at the two-dimensional superfluid/Mott insulator transition
journal, July 2012

Nearly critical ground state of ${LaCuO}_{2.5}$
journal, March 1997

Higgs Amplitude Mode in the BCS Superconductors ${Nb}_{1 − x} {Ti}_{x} N$ Induced by Terahertz Pulse Excitation
journal, July 2013

Field- and pressure-induced magnetic quantum phase transitions in ${TlCuCl}_{3}$
journal, February 2004

Novel Longitudinal Mode in the Coupled Quantum Chain Compound ${KCuF}_{3}$
journal, July 2000

Broken symmetries, massless particles and gauge fields
journal, September 1964

Tuning the Magnetic Exchange via a Control of Orbital Hybridization in ${Cr}_{2} ({Te}_{1 - x} W_{x}) O_{6}$
journal, August 2014

Magnetic structures of the ordered trirutiles Cr2WO6, Cr2TeO6 and Fe2TeO6
journal, August 1968

Amplitude/Higgs Modes in Condensed Matter Physics
journal, March 2015

Higgs mode and its decay in a two-dimensional antiferromagnet
journal, March 2017

Broken Symmetries and the Masses of Gauge Bosons
journal, October 1964